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    "abstract": "In this presentation, conditions and explicit formulas for the realization of a relaxed fourth-order linear time-varying system as a cascade connection of two commutative first and third-order systems are given. The results are supported by an example.  ",
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            "title": "Decomposition of a Fourth-Order Linear Time-Varying System",
            "abstract": "In this presentation, conditions and explicit formulas for the realization of a relaxed fourth-order linear time-varying system as a cascade connection of two commutative first and third-order systems are given. The results are supported by an example.  ",
            "keywords": [
                "Differential equation, physical systems, equivalent circuit, decomposition, analogue control"
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    "references": [
        {
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            "raw": "E. Marshall, “Commutativity of time varying systems”, Electro Letters, vol. 18, pp. 539-40, 1977.",
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        {
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            "raw": "M. Koksal, “Commutativity of second order time-varying systems”, International Journal of Control, vol. 3, pp. 541-44, 1982.",
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        {
            "order": 3,
            "raw": "M. Koksal, “A survey on the commutativity of time-varying systems”, Middle East Technical University, Technical Report no: GEEE CAS-85/1, 1985.",
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        {
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            "raw": "M.E. Koksal, M. Koksal, “Commutativity of linear time-varying differential systems with non-zero initial conditions: A review and some new extensions”, Mathematical Problems in Engineering, vol. 2011, pp. 1-25, 2011.",
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        {
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            "raw": "M.E. Koksal, “Decomposition of a second-class order linear time-varying differential system as a series connection of two first-order commutative pairs”, Open Mathematics, vol. 14, pp. 693-704, 2016.",
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        {
            "order": 6,
            "raw": "M.E. Koksal, Ali Yakar, “Decomposition of a third-order linear time-varying system into its second and first- order commutative pairs”, Circuits, Systems and Signal Processing, vol. 38, pp. 4446-4464, 2019.",
            "doi": null,
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        {
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            "raw": "S. Ibrahim, M.E. Koksal, “Decomposition of fourth-order linear time-varying system into its twin second-order commutative pairs (2+2)”, In Proc. of the 3rd International Symposium on Multidisciplinary Studied and Innovative Technologies, Oct 10-12 Ankara, Turkey, pp. 224-226, 2019.",
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